Initial-boundary value problem for the nonlinear string-beam system ✩

This paper deals with a nonlinear string-beam system describing the torsional-vertical oscillations of a suspension bridge. We consider the initial-boundary value problem and study the existence and uniqueness question.We assume time independent right hand sides, but allow quite general nonlinear terms. Using the Faedo–Galerkin method we prove the existence of a unique solution on an arbitrary large time interval.  2003 Elsevier Inc. All rights reserved.